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Functional Analysisкнига
- Автор: Садовничий В.А.
- Год издания: 2019
- Место издания: Lomonosov Moscow State University : Prosvesheniye Publishers Москва
- Объём: 424 страниц
- ISBN: 978-5-09-071884-4
- Учебник
- Аннотация: The textbook corresponds to the program of the courses "Functional Analysis", "Theory of Operators", "Analysis III", which are taught at universities and pedagogical universities. The book presents the basic set-theoretic concepts, presents the general theory of metric, topological, linear topological and normed spaces, the general theory of measure, measurable functions and the Lebesgue integral. The theory of operators in a Hilbert space, the spectral theory of self-adjoint operators, traces of operators, applications of the methods of the theory of analytic functions in the spectral theory of non-self-adjoint operators, the theory of Fourier transforms, and generalized functions are considered in detail.For students of universities, pedagogical universities and universities with in-depth study of mathematics. It may be useful for graduate students and researchers.
- Добавил в систему: Попеленский Михаил Юрьевич